Dynamics for ginzburg-landau vortices under a mixed flow

Matthias Kurzke, Christof Melcher, Roger Moser, Daniel Spirn

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

We consider a complex Ginzburg-Landau equation that contains a Schrödinger term and a damping term that is proportional to the time derivative. Given well-prepared initial conditions that correspond to quantized vortices, we establish the vortex motion law until collision time.

Original languageEnglish (US)
Pages (from-to)2597-2621
Number of pages25
JournalIndiana University Mathematics Journal
Volume58
Issue number6
DOIs
StatePublished - 2009

Keywords

  • Ginzburg-landau vortices
  • Mixed dynamics
  • Vortex motion

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